PEA 2026 PEA Q10 | ISI MSQE

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2026 PEA Q10

In simple linear regression $Y = a + bX$ , the least squares line based on $n$ data points always passes through

Reveal answer and solution

Answer

Solution

1
The OLS line always passes through the point $(\bar{X}, \bar{Y})$ , the sample means
2
of $X$ and $Y$ . None of the offered points coincides with $(\bar{X}, \bar{Y})$ in general.

Answer structure / marking notes

No major trap beyond standard calculation care.

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Content note

Imported from public/resources/isi/msqe/solutions/pea/2026/ISI_MSQE_PEA_2026_Solutions.tex. Question wording is retained from the available local TeX source; incomplete option blocks or ambiguous source status are flagged for review.